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| 送交者: 車五進二 2020月01月04日23:20:37 於 [靈機一動] 發送悄悄話 |
| 回 答: 趣味的數學-210 由 gugeren 於 2019-12-30 20:01:02 |
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a) Let x = sqrt(2) + sqrt(3), herefore (x-sqrt(2))^2 = 3, hence x^2 + 2 - 2*sqrt(2)*x = 3, x^2-1=2*sqrt(2)*2, square both side again to eliminate the radical. b) Let (x-sqrt(2))^3 = 3, expande, re-arrange, square, repeat the process until radicals are gone. |
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